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Finding the Third Proportional to 61.91 and 133.95

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Solution

The third proportional to 61.91 and 133.95 is: 289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.91 : 133.95 = 133.95 : x
  2. Step 2: Convert to fraction form
    61.91/133.95 = 133.95/x
  3. Step 3: Cross multiply
    61.91x = 133.95 × 133.95
  4. Step 4: Simplify right side
    61.91x = 17,941.35
  5. Step 5: Solve for x
    x = 17,941.35/61.91
  6. Step 6: Final answer
    x = 289.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.